Stuck on ladder problem, know the solution but need an explanation

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The discussion focuses on a physics problem involving a ladder, where an 85 kg person stands on a 4.3 m ladder weighing 65.0 N. The user is confused about the torque equation f3(3.8) - mg(2.15) = 0, questioning its correctness. A response clarifies that this expression is incorrect and emphasizes the need to consider all forces, including the weights of the person and the ladder, along with their respective distances from the base for accurate torque calculations. The importance of including all relevant dimensions in the torque analysis is highlighted to solve the problem correctly. Understanding these concepts is crucial for resolving the ladder problem effectively.
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Homework Statement


http://www.webassign.net/walker/p11-78alt.gif
An 85 kg person stands on a uniform ladder that is 4.3 m long and weighs 65.0 N. The floor is rough; hence it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Use the dimensions in the figure to find the following. (a = 3.8 m.)
f1=?
f2=?
f3=?


Homework Equations



I know the solution but I don't understand why f3(3.8)-mg(2.15)=0. How is this a correct expression of the torque?

The Attempt at a Solution

 
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BifSlamkovich said:

Homework Statement


http://www.webassign.net/walker/p11-78alt.gif
An 85 kg person stands on a uniform ladder that is 4.3 m long and weighs 65.0 N. The floor is rough; hence it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Use the dimensions in the figure to find the following. (a = 3.8 m.)
f1=?
f2=?
f3=?


Homework Equations



I know the solution but I don't understand why f3(3.8)-mg(2.15)=0. How is this a correct expression of the torque?

The Attempt at a Solution

It is not. The correct expression for torque about the base of the ladder must include f3, the man's weight, and the ladder weight, using the appropriate perpendicular diatances from those forces to the ladder base to calculate the respective torques and signs of the torques. You are missing a few dimensions.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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